Fibonacci, while studying how many rabbits would be born from an original pair of rabbits, assumed that every month each pair would produce another pair and that rabbits would begin to breed when they are two months old. After the process got started, the total number of pairs of rabbits at the end of each month would be as follows: 1, 2, 3, 5, 8, 13, 21, 55, 89, 144, 233.

Each successive number is the sum of the two preceding numbers.

Divide any of the Fibonacci numbers by the next higher number [and] the sequence of ratios will converge to 0.618. Dividing a number by its previous number will converge to 1.618. The Greeks knew this proportion and called it the ‘Golden Mean’.

Fibonacci sequences

Art & Enviromental Examples Using Fibonacci Numbers

Aubergines Fibonacci

Belgian Minimal Art involving eggplants and Fibonacci numbers.

A spiral made from the Fibonacci Series

The proportions of the violin conform to the ratios of the golden section or the Fibonacci sequence.

A Fibonacci Tower

Fibonacci numbers on a smokestack in Turku

Fibonacci numbers on a building in Sweden

Mario Mertz in Turin, Italy

The mathematical tramway celebrating the Fibonacci sequence.

Mel Bochner

Mel Bochner did many art pieces involving numbers and one series was based on Fibonacci numbers.